Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Number of solutions of 2 sin(|x|) = 3 |cosx| in [- 
, 
], is equal to
Text Solution
Verified by ExpertsThe correct answer is:
4
4
In the interval 
all the values of sin |x|are positive as well as |cos x|
Hence in 
, equation gets reduced to,
Taking log on both sides,
sin x log 2 = cos x log 3
| tan x| = log 3/ log 2 , value of tan x are positive in 1 st and 3 rd quadrant and negative in 2 nd and 4 th quadrant but positive for |tan x|in allthe values of x in [- 
, 
].
Hence, tan x will repeat its value in all 4 quadrants, so the number of solutions are 4 .
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